Skip to main content
SpringerLink
Log in

On connections between classical and constructive semantics

  • Conference paper
  • First Online:
Book cover COLOG-88 (COLOG 1988)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 417))

Included in the following conference series:

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Kolmogorov, A.N.: Zur Deutung der intuitionistische Logic. Math. Z. (1932), v.35

    Google Scholar 

  2. Kleene S.C.: On the interpretation of intuitionistic number theory. J Symb. Logic, (1945), v.10, 109–124

    Google Scholar 

  3. Kreisel G.: Interpretation of analysis by means of constructive functionals of finite types. Constructivity of Mathematics, North Holland, (1959), 101–128

    Google Scholar 

  4. Gödel K.: Uber eine noch nicht benutzte Erweiterung des finiten Standpunktes. Dialectica, 3/4, (1958), v.12, 280–287

    Google Scholar 

  5. Kleene S.C.: Vesley R.Y. The foundations of intuitionistic mathematics. North Holland, (1956)

    Google Scholar 

  6. Howard W.A.: The formulae-as-types notion of construction. Festschrist on the Occasion of H.B.Curry's 80th Birthday, Academic Press, (1980), 479–490

    Google Scholar 

  7. Diller J.: Modified realization and the formulae-as-types notion, Ibid, 491–502

    Google Scholar 

  8. McCarthy Ch.: Realizability and recursive set theory. Ann. Pure and Appl. Log., 2 (1986), 32, 153–184

    Google Scholar 

  9. Ershov Yu.L.: Decidability problems and constructive models. Moscow, Nauka, (1980) (In Russian)

    Google Scholar 

  10. Nepeivoda N.N., Sviridenko D.I.: On the theory of program synthesis, Trudy Math. Inst., 2(1982), 159–175

    Google Scholar 

  11. Voronkov A.A.: Automatic program synthesis and realizability. Matematicheskie Osnovy Raspoznavaniya Obrasov, Erevan, Acad. Sci. of Armenian SSR, (1985), 38–40 (In Russian)

    Google Scholar 

  12. Plisko V.E.: On language with constructive logical connectives. Soviet Math. Doklady, 1 (1987), v.296

    Google Scholar 

  13. Voronkov A.A: Model theory based on constructive notion of truth. Trudy Math. Inst., Novosibirsk, (1988), v.8, 25–42 (In Russian)

    Google Scholar 

  14. Voronkov A.A.: Logic programs and their synthesis. Preprint of Math. Inst., Novosibirsk, 23(1986), p.32 (In Russian)

    Google Scholar 

  15. Voronkov A.A.: Synthesis of logic programs. 24(1986), p.42.

    Google Scholar 

  16. Ershov Yu.L.: Theory of enumerations. Moscow, Nauka, 1977 (In Russian)

    Google Scholar 

  17. Scott D.S.: Domains for denotational semantics Lect. Notes in Comp. Sci. 1982. v.140. 577–612

    Google Scholar 

  18. Kamimura T., Tang J.: Effectively given spaces. Theoretical Comp. Sci. (1984)

    Google Scholar 

  19. Harrop R.: Concerning formulas of the types A→BvC, A→(Ex)B(x) in intuitionistic formal system. J. Symb. Logic, 1(1962), v.27, 27–32

    Google Scholar 

  20. Goad C.A.: Computational uses of the manipulation of formal proofs. Stanford Univ. Tech. Report, CS-80-819, (1980), p.122

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics, 630090, Novosibirsk-90, USSR

    S. S. Starchenko & A. A. Voronkov

Authors
  1. S. S. Starchenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. A. Voronkov
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Per Martin-Löf Grigori Mints

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Starchenko, S.S., Voronkov, A.A. (1990). On connections between classical and constructive semantics. In: Martin-Löf, P., Mints, G. (eds) COLOG-88. COLOG 1988. Lecture Notes in Computer Science, vol 417. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-52335-9_59

Download citation

  • DOI: https://doi.org/10.1007/3-540-52335-9_59

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52335-2

  • Online ISBN: 978-3-540-46963-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation